This book presents a collection of research papers exploring innovative applications of Artificial Intelligence (AI) in Industrial and Applied Mathematics (IAM). It begins with an introduction to the knowlEdge Platform, a software solution for managing the AI lifecycle in Industry 5.0, integrating AI, IoT, and edge computing to support human-AI collaboration across cloud-to-edge systems. The next chapter offers an accessible overview of geometric deep learning, focusing on geometric algebra transformers and their applications. Another contribution discusses eXplainable AI (XAI), highlighting how Clifford geometric algebra can enhance AI interpretability. Further, an improved Quaternion Monogenic Convolutional Neural Network Layer (QMCL) is presented, demonstrating resilience to brightness changes and adversarial attacks. The book also addresses the challenge of balancing computational efficiency, privacy, and accuracy in distributed AI, proposing model partitioning and early exit strategies. A data-driven method for fault prognosis in wind turbine main bearings is introduced, using industrial-scale turbine data. Finally, recent publicationsparticularly those following the International Congress of Industrial and Applied Mathematics 2023are reviewed, offering insights into emerging research directions in AI and IAM.

Collects research papers on novel applications of artificial intelligence to Industrial and Applied Mathematics Covers a wide range of techniques and algorithms Points out research opportunities aligned with the topics discussed in the book

Autorentext

Sebastian Xamb**ó**-Descamps, Ed. is a Emeritus Full Professor of Mathematics at the Universitat Politècnica de Catalunya / Facultat de Matemàtiques i Estadística (UPC/FME).

Inhalt

Chapter 1 Automating AI Lifecycle Management in Industry 5.0.- Chapter 2 Geometric Algebra Transformers: Revolutionizing Geometric Data.- Chapter 3 Innovative Models based on Geometric Calculus for Explainable Artificial Intelligence.- Chapter 4 Robust Image Classification with Quaternion Monogenic Signal ConvNet under Brightness Changes and Adversarial Attacks.- Chapter 5 Optimization Approaches for Distributed AI Models on Edge Devices.- Chapter 6 Artificial Intelligence for Wind Turbine Predictive Maintenance.- Chapter 7 Epilog.